The highest fifth quin tile receives 50.1% of the total income
The lowest quin tile receives 3.5% of the total income
The straight line on the graph represents the percentages of income each quin tile would receive if the total income was distributed evenly, while the curved line shows the actual distribution of the total income to each quin tile.
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
Step-by-step explanation:
Given that for a sample size of 25, sample mean = 102 lbs. and sample std deviation = 10 lbs.
(Right tailed test)
Given that we assume population is normally distributed
Test statistic:
Mean difference = +2
Std error of sample = 
t = test statistic = Mean diff/Std error 
degree of freedom
Critical value of t = 1.711
Our test statistic >1.71
Accept alternate hypothesis
Because there is significant difference between the test statistic and test statistic lies above critical value.
Given parameters:
x = 150 minus 6 y
Interpreting this gives;
minus = subtraction = -
x = 150 - 6y
Now bring the variables together;
x + 6y = 150
The option that matches with this equivalent.
The other choices are wrong;
a, x + 150 = 6 y
x - 6y = 150 wrong
c. 2x + 3y = 75 mulitply through by 2;
2(2x + 3y) = 2(75)
4x + 6y = 150 wrong
d. 2x - 3y = 75
Multiply by 2;
2(2x -3y) = 2(75)
4x - 6y = 150
(0, 2 )
to find the y-intercept, let x = 0 in the equation
x = 0 , then 10y = 20 ⇒ y = 2 ← ( y- intercept ) ⇔ (0, 2 )
